TSTP Solution File: GRP132-2.002 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP132-2.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:35:27 EDT 2022
% Result : Unsatisfiable 0.78s 1.17s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP132-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.36 % Computer : n025.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % DateTime : Mon Jun 13 19:50:39 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.78/1.17 *** allocated 10000 integers for termspace/termends
% 0.78/1.17 *** allocated 10000 integers for clauses
% 0.78/1.17 *** allocated 10000 integers for justifications
% 0.78/1.17 Bliksem 1.12
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Automatic Strategy Selection
% 0.78/1.17
% 0.78/1.17 Clauses:
% 0.78/1.17 [
% 0.78/1.17 [ next( 'e_1', 'e_2' ) ],
% 0.78/1.17 [ greater( 'e_2', 'e_1' ) ],
% 0.78/1.17 [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater( Y, Z ) ) ]
% 0.78/1.17 ,
% 0.78/1.17 [ 'group_element'( 'e_1' ) ],
% 0.78/1.17 [ 'group_element'( 'e_2' ) ],
% 0.78/1.17 [ ~( equalish( 'e_1', 'e_2' ) ) ],
% 0.78/1.17 [ ~( equalish( 'e_2', 'e_1' ) ) ],
% 0.78/1.17 [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ), product( X, Y,
% 0.78/1.17 'e_1' ), product( X, Y, 'e_2' ) ],
% 0.78/1.17 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.78/1.17 ,
% 0.78/1.17 [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish( Y, T ) ]
% 0.78/1.17 ,
% 0.78/1.17 [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish( X, T ) ]
% 0.78/1.17 ,
% 0.78/1.17 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.78/1.17 ) ), ~( product( W, T, U ) ), equalish( X, T ) ],
% 0.78/1.17 [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~( product( W, X, Y
% 0.78/1.17 ) ), ~( product( W, T, U ) ), equalish( Y, U ) ]
% 0.78/1.17 ] .
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 percentage equality = 0.000000, percentage horn = 0.923077
% 0.78/1.17 This is a near-Horn, non-equality problem
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Options Used:
% 0.78/1.17
% 0.78/1.17 useres = 1
% 0.78/1.17 useparamod = 0
% 0.78/1.17 useeqrefl = 0
% 0.78/1.17 useeqfact = 0
% 0.78/1.17 usefactor = 1
% 0.78/1.17 usesimpsplitting = 0
% 0.78/1.17 usesimpdemod = 0
% 0.78/1.17 usesimpres = 4
% 0.78/1.17
% 0.78/1.17 resimpinuse = 1000
% 0.78/1.17 resimpclauses = 20000
% 0.78/1.17 substype = standard
% 0.78/1.17 backwardsubs = 1
% 0.78/1.17 selectoldest = 5
% 0.78/1.17
% 0.78/1.17 litorderings [0] = split
% 0.78/1.17 litorderings [1] = liftord
% 0.78/1.17
% 0.78/1.17 termordering = none
% 0.78/1.17
% 0.78/1.17 litapriori = 1
% 0.78/1.17 termapriori = 0
% 0.78/1.17 litaposteriori = 0
% 0.78/1.17 termaposteriori = 0
% 0.78/1.17 demodaposteriori = 0
% 0.78/1.17 ordereqreflfact = 0
% 0.78/1.17
% 0.78/1.17 litselect = negative
% 0.78/1.17
% 0.78/1.17 maxweight = 30000
% 0.78/1.17 maxdepth = 30000
% 0.78/1.17 maxlength = 115
% 0.78/1.17 maxnrvars = 195
% 0.78/1.17 excuselevel = 0
% 0.78/1.17 increasemaxweight = 0
% 0.78/1.17
% 0.78/1.17 maxselected = 10000000
% 0.78/1.17 maxnrclauses = 10000000
% 0.78/1.17
% 0.78/1.17 showgenerated = 0
% 0.78/1.17 showkept = 0
% 0.78/1.17 showselected = 0
% 0.78/1.17 showdeleted = 0
% 0.78/1.17 showresimp = 1
% 0.78/1.17 showstatus = 2000
% 0.78/1.17
% 0.78/1.17 prologoutput = 1
% 0.78/1.17 nrgoals = 5000000
% 0.78/1.17 totalproof = 1
% 0.78/1.17
% 0.78/1.17 Symbols occurring in the translation:
% 0.78/1.17
% 0.78/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.17 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.78/1.17 ! [4, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.17 'e_1' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.78/1.17 'e_2' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.78/1.17 next [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.78/1.17 greater [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.78/1.17 product [45, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.78/1.17 'group_element' [47, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.78/1.17 equalish [48, 2] (w:1, o:54, a:1, s:1, b:0).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Starting Search:
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Bliksems!, er is een bewijs:
% 0.78/1.17 % SZS status Unsatisfiable
% 0.78/1.17 % SZS output start Refutation
% 0.78/1.17
% 0.78/1.17 clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.78/1.17 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.78/1.17 ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.78/1.17 Z ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 11, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U,
% 0.78/1.17 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 17, [ equalish( X, Y ), ~( product( X, Z, Z ) ), ~( product( Y, X,
% 0.78/1.17 Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 26, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 27, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 28, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 29, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 38, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 39, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 42, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( 'e_2', X, 'e_2' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 44, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( X, 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 48, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 50, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 82, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 84, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1', X )
% 0.78/1.17 ), ~( product( 'e_1', X, X ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 87, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.78/1.17 product( X, 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 94, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 96, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 100, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.78/1.17 product( 'e_2', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 101, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 103, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 105, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 107, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_1', Z ) ), ~(
% 0.78/1.17 product( 'e_1', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 111, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 113, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 114, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 115, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 .
% 0.78/1.17 clause( 117, [] )
% 0.78/1.17 .
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 % SZS output end Refutation
% 0.78/1.17 found a proof!
% 0.78/1.17
% 0.78/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.17
% 0.78/1.17 initialclauses(
% 0.78/1.17 [ clause( 119, [ next( 'e_1', 'e_2' ) ] )
% 0.78/1.17 , clause( 120, [ greater( 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 121, [ ~( product( X, 'e_1', Y ) ), ~( next( X, Z ) ), ~( greater(
% 0.78/1.17 Y, Z ) ) ] )
% 0.78/1.17 , clause( 122, [ 'group_element'( 'e_1' ) ] )
% 0.78/1.17 , clause( 123, [ 'group_element'( 'e_2' ) ] )
% 0.78/1.17 , clause( 124, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 125, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 126, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.78/1.17 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.78/1.17 , clause( 127, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish(
% 0.78/1.17 Z, T ) ] )
% 0.78/1.17 , clause( 128, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.78/1.17 Y, T ) ] )
% 0.78/1.17 , clause( 129, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.78/1.17 X, T ) ] )
% 0.78/1.17 , clause( 130, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.78/1.17 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.78/1.17 , clause( 131, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.78/1.17 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( Y, U ) ] )
% 0.78/1.17 ] ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.78/1.17 , clause( 122, [ 'group_element'( 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.78/1.17 , clause( 123, [ 'group_element'( 'e_2' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 124, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 125, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product( X
% 0.78/1.17 , Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.78/1.17 , clause( 126, [ ~( 'group_element'( X ) ), ~( 'group_element'( Y ) ),
% 0.78/1.17 product( X, Y, 'e_1' ), product( X, Y, 'e_2' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.78/1.17 ), ==>( 1, 3 ), ==>( 2, 2 ), ==>( 3, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T, Z
% 0.78/1.17 ) ) ] )
% 0.78/1.17 , clause( 128, [ ~( product( X, Y, Z ) ), ~( product( X, T, Z ) ), equalish(
% 0.78/1.17 Y, T ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y,
% 0.78/1.17 Z ) ) ] )
% 0.78/1.17 , clause( 129, [ ~( product( X, Y, Z ) ), ~( product( T, Y, Z ) ), equalish(
% 0.78/1.17 X, T ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 11, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U,
% 0.78/1.17 Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.78/1.17 , clause( 130, [ ~( product( X, Y, Z ) ), ~( product( T, U, Z ) ), ~(
% 0.78/1.17 product( W, X, Y ) ), ~( product( W, T, U ) ), equalish( X, T ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.78/1.17 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 2 ), ==>( 2
% 0.78/1.17 , 1 ), ==>( 3, 4 ), ==>( 4, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 152, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X, Z
% 0.78/1.17 , Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.78/1.17 , clause( 11, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.78/1.17 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.78/1.17 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Z ), :=( T, Y ),
% 0.78/1.17 :=( U, X ), :=( W, Y )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 17, [ equalish( X, Y ), ~( product( X, Z, Z ) ), ~( product( Y, X,
% 0.78/1.17 Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.78/1.17 , clause( 152, [ equalish( X, Y ), ~( product( Y, X, Z ) ), ~( product( X,
% 0.78/1.17 Z, Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 161, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.78/1.17 product( X, 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.78/1.17 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.78/1.17 , 3, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_1' )] ), substitution( 1, [] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 26, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 , clause( 161, [ ~( 'group_element'( X ) ), product( X, 'e_1', 'e_2' ),
% 0.78/1.17 product( X, 'e_1', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.78/1.17 0 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 163, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.78/1.17 product( X, 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 7, [ ~( 'group_element'( X ) ), product( X, Y, 'e_2' ), product(
% 0.78/1.17 X, Y, 'e_1' ), ~( 'group_element'( Y ) ) ] )
% 0.78/1.17 , 3, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' )] ), substitution( 1, [] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 27, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 , clause( 163, [ ~( 'group_element'( X ) ), product( X, 'e_2', 'e_2' ),
% 0.78/1.17 product( X, 'e_2', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.78/1.17 0 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 164, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 26, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 , 2, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 28, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 164, [ product( 'e_1', 'e_1', 'e_2' ), product( 'e_1', 'e_1',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 165, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 26, [ product( X, 'e_1', 'e_2' ), product( X, 'e_1', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 , 2, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 29, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 165, [ product( 'e_2', 'e_1', 'e_2' ), product( 'e_2', 'e_1',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 166, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 27, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 , 2, clause( 3, [ 'group_element'( 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 38, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 166, [ product( 'e_1', 'e_2', 'e_2' ), product( 'e_1', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 167, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 27, [ product( X, 'e_2', 'e_2' ), product( X, 'e_2', 'e_1' ), ~(
% 0.78/1.17 'group_element'( X ) ) ] )
% 0.78/1.17 , 2, clause( 4, [ 'group_element'( 'e_2' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 39, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_2'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 167, [ product( 'e_2', 'e_2', 'e_2' ), product( 'e_2', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 171, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.78/1.17 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.78/1.17 , Z ) ) ] )
% 0.78/1.17 , 2, clause( 39, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_2' ), :=( T,
% 0.78/1.17 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 42, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( 'e_2', X, 'e_2' ) ) ] )
% 0.78/1.17 , clause( 171, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_2' ) ),
% 0.78/1.17 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.78/1.17 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 175, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.78/1.17 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.78/1.17 , Z ) ) ] )
% 0.78/1.17 , 2, clause( 39, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_2' ), :=( T,
% 0.78/1.17 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 44, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( X, 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 175, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_2' ) ),
% 0.78/1.17 product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.78/1.17 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 176, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.78/1.17 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 44, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( X, 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , 2, clause( 38, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 177, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , 0, clause( 176, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.78/1.17 ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 48, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 177, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 181, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.78/1.17 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.78/1.17 , Z ) ) ] )
% 0.78/1.17 , 2, clause( 48, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.78/1.17 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 50, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 , clause( 181, [ equalish( X, 'e_2' ), ~( product( 'e_2', X, 'e_1' ) ),
% 0.78/1.17 product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.78/1.17 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 182, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1' ),
% 0.78/1.17 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 42, [ equalish( X, 'e_2' ), product( 'e_2', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( 'e_2', X, 'e_2' ) ) ] )
% 0.78/1.17 , 2, clause( 29, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 183, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , 0, clause( 182, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_2', 'e_1'
% 0.78/1.17 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 82, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 183, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_1',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 187, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_1', X, X ) ), ~(
% 0.78/1.17 product( 'e_2', 'e_1', X ) ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 17, [ equalish( X, Y ), ~( product( X, Z, Z ) ), ~( product( Y, X
% 0.78/1.17 , Z ) ), ~( product( Y, Y, X ) ) ] )
% 0.78/1.17 , 3, clause( 82, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_2' ), :=( Z, X )] ),
% 0.78/1.17 substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 189, [ ~( product( 'e_1', X, X ) ), ~( product( 'e_2', 'e_1', X ) )
% 0.78/1.17 , product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , 0, clause( 187, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_1', X, X ) ),
% 0.78/1.17 ~( product( 'e_2', 'e_1', X ) ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 84, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1', X )
% 0.78/1.17 ), ~( product( 'e_1', X, X ) ) ] )
% 0.78/1.17 , clause( 189, [ ~( product( 'e_1', X, X ) ), ~( product( 'e_2', 'e_1', X )
% 0.78/1.17 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1,
% 0.78/1.17 1 ), ==>( 2, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 193, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.78/1.17 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 10, [ equalish( X, T ), ~( product( X, Y, Z ) ), ~( product( T, Y
% 0.78/1.17 , Z ) ) ] )
% 0.78/1.17 , 2, clause( 82, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, X ), :=( Y, 'e_2' ), :=( Z, 'e_1' ), :=( T,
% 0.78/1.17 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 87, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.78/1.17 product( X, 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 193, [ equalish( X, 'e_2' ), ~( product( X, 'e_2', 'e_1' ) ),
% 0.78/1.17 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.78/1.17 2 ), ==>( 2, 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 194, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.78/1.17 'e_2' ) ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 84, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1', X
% 0.78/1.17 ) ), ~( product( 'e_1', X, X ) ) ] )
% 0.78/1.17 , 2, clause( 38, [ product( 'e_1', 'e_2', 'e_1' ), product( 'e_1', 'e_2',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 195, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.78/1.17 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 194, [ product( 'e_2', 'e_1', 'e_1' ), ~( product( 'e_2', 'e_1',
% 0.78/1.17 'e_2' ) ), product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , 1, clause( 29, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 196, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 195, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.78/1.17 'e_1' ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, 2, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 94, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 196, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 197, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1' ),
% 0.78/1.17 product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 87, [ equalish( X, 'e_2' ), product( 'e_2', 'e_1', 'e_1' ), ~(
% 0.78/1.17 product( X, 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 , 2, clause( 94, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_1', 'e_2',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , 1, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 199, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , 0, clause( 197, [ equalish( 'e_1', 'e_2' ), product( 'e_2', 'e_1', 'e_1'
% 0.78/1.17 ), product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 200, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 199, [ product( 'e_2', 'e_1', 'e_1' ), product( 'e_2', 'e_1',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , 0, 1, substitution( 0, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 96, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , clause( 200, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 204, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, Y ) ), ~(
% 0.78/1.17 product( 'e_1', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , clause( 11, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.78/1.17 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.78/1.17 , 4, clause( 96, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 'e_1' )
% 0.78/1.17 , :=( U, 'e_1' ), :=( W, 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 100, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.78/1.17 product( 'e_2', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , clause( 204, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, Y ) ), ~(
% 0.78/1.17 product( 'e_1', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 213, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1' ) ]
% 0.78/1.17 )
% 0.78/1.17 , clause( 50, [ equalish( X, 'e_2' ), product( 'e_1', 'e_2', 'e_1' ), ~(
% 0.78/1.17 product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 , 2, clause( 96, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 214, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , 0, clause( 213, [ equalish( 'e_1', 'e_2' ), product( 'e_1', 'e_2', 'e_1'
% 0.78/1.17 ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 101, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 214, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 216, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 , clause( 9, [ equalish( Y, T ), ~( product( X, Y, Z ) ), ~( product( X, T
% 0.78/1.17 , Z ) ) ] )
% 0.78/1.17 , 2, clause( 96, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'e_2' ), :=( Y, X ), :=( Z, 'e_1' ), :=( T,
% 0.78/1.17 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 103, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 , clause( 216, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.78/1.17 1 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 218, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_1', 'e_1', 'e_2' )
% 0.78/1.17 ), ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 100, [ equalish( X, 'e_1' ), ~( product( 'e_1', 'e_1', Z ) ), ~(
% 0.78/1.17 product( 'e_2', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , 2, 3, substitution( 0, [ :=( X, 'e_2' ), :=( Y, 'e_2' ), :=( Z, 'e_2' )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 219, [ ~( product( 'e_1', 'e_1', 'e_2' ) ), ~( product( 'e_2',
% 0.78/1.17 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 , 0, clause( 218, [ equalish( 'e_2', 'e_1' ), ~( product( 'e_1', 'e_1',
% 0.78/1.17 'e_2' ) ), ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 105, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 219, [ ~( product( 'e_1', 'e_1', 'e_2' ) ), ~( product( 'e_2',
% 0.78/1.17 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 223, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, Y ) ), ~(
% 0.78/1.17 product( 'e_2', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , clause( 11, [ equalish( X, T ), ~( product( W, X, Y ) ), ~( product( T, U
% 0.78/1.17 , Z ) ), ~( product( X, Y, Z ) ), ~( product( W, T, U ) ) ] )
% 0.78/1.17 , 4, clause( 101, [ product( 'e_1', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, 'e_2' )
% 0.78/1.17 , :=( U, 'e_1' ), :=( W, 'e_1' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 107, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_1', Z ) ), ~(
% 0.78/1.17 product( 'e_1', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , clause( 223, [ equalish( X, 'e_2' ), ~( product( 'e_1', X, Y ) ), ~(
% 0.78/1.17 product( 'e_2', 'e_1', Z ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.78/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 factor(
% 0.78/1.17 clause( 230, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_2', 'e_1', 'e_1' )
% 0.78/1.17 ), ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 107, [ equalish( X, 'e_2' ), ~( product( 'e_2', 'e_1', Z ) ), ~(
% 0.78/1.17 product( 'e_1', X, Y ) ), ~( product( X, Y, Z ) ) ] )
% 0.78/1.17 , 2, 3, substitution( 0, [ :=( X, 'e_1' ), :=( Y, 'e_1' ), :=( Z, 'e_1' )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 231, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 5, [ ~( equalish( 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , 0, clause( 230, [ equalish( 'e_1', 'e_2' ), ~( product( 'e_2', 'e_1',
% 0.78/1.17 'e_1' ) ), ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 111, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 231, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.78/1.17 ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 232, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 111, [ ~( product( 'e_2', 'e_1', 'e_1' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , 0, clause( 96, [ product( 'e_2', 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 113, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , clause( 232, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 233, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), product( 'e_1', 'e_1',
% 0.78/1.17 'e_1' ) ] )
% 0.78/1.17 , clause( 105, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), ~( product( 'e_1',
% 0.78/1.17 'e_1', 'e_2' ) ) ] )
% 0.78/1.17 , 1, clause( 28, [ product( 'e_1', 'e_1', 'e_1' ), product( 'e_1', 'e_1',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 234, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 113, [ ~( product( 'e_1', 'e_1', 'e_1' ) ) ] )
% 0.78/1.17 , 0, clause( 233, [ ~( product( 'e_2', 'e_2', 'e_2' ) ), product( 'e_1',
% 0.78/1.17 'e_1', 'e_1' ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 114, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , clause( 234, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 235, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 114, [ ~( product( 'e_2', 'e_2', 'e_2' ) ) ] )
% 0.78/1.17 , 0, clause( 39, [ product( 'e_2', 'e_2', 'e_1' ), product( 'e_2', 'e_2',
% 0.78/1.17 'e_2' ) ] )
% 0.78/1.17 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 115, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 235, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 236, [ equalish( 'e_2', 'e_1' ) ] )
% 0.78/1.17 , clause( 103, [ equalish( X, 'e_1' ), ~( product( 'e_2', X, 'e_1' ) ) ] )
% 0.78/1.17 , 1, clause( 115, [ product( 'e_2', 'e_2', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [ :=( X, 'e_2' )] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 resolution(
% 0.78/1.17 clause( 237, [] )
% 0.78/1.17 , clause( 6, [ ~( equalish( 'e_2', 'e_1' ) ) ] )
% 0.78/1.17 , 0, clause( 236, [ equalish( 'e_2', 'e_1' ) ] )
% 0.78/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 subsumption(
% 0.78/1.17 clause( 117, [] )
% 0.78/1.17 , clause( 237, [] )
% 0.78/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 end.
% 0.78/1.17
% 0.78/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.17
% 0.78/1.17 Memory use:
% 0.78/1.17
% 0.78/1.17 space for terms: 1853
% 0.78/1.17 space for clauses: 5423
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 clauses generated: 372
% 0.78/1.17 clauses kept: 118
% 0.78/1.17 clauses selected: 78
% 0.78/1.17 clauses deleted: 5
% 0.78/1.17 clauses inuse deleted: 0
% 0.78/1.17
% 0.78/1.17 subsentry: 3142
% 0.78/1.17 literals s-matched: 1567
% 0.78/1.17 literals matched: 915
% 0.78/1.17 full subsumption: 618
% 0.78/1.17
% 0.78/1.17 checksum: 717031567
% 0.78/1.17
% 0.78/1.17
% 0.78/1.17 Bliksem ended
%------------------------------------------------------------------------------